Question

Consider this system of equations:2x + 5y = 174x - 8y = 12Multiply every term in the first equation by -2 so that the x-terms will have opposite coefficients. Write the newequation

Answer 1

Given the system of equations

2x+5y=17

4x-8y=12

Multiplying every term in the first equation by -2 will give

`\begin{gathered} -2(2x+5y=17) \\ -4x-10y=-34 \end{gathered}`

It is obvious that the coefficient of x is 2 in the first equation is now the opposite coefficient of value -4

Hence, the new equation would be ₋4x-10y= -34